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Finding the Fourth Proportional to 596.51, 895.49 and 401.57

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Solution

The fourth proportional to 596.51, 895.49 and 401.57 is: 602.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.51 : 895.49 = 401.57 : x
  2. Step 2: Convert to fraction form
    596.51/895.49 = 401.57/x
  3. Step 3: Cross multiply
    596.51x = 895.49 × 401.57
  4. Step 4: Simplify right side
    596.51x = 359,599.91
  5. Step 5: Solve for x
    x = 359,599.91/596.51
  6. Step 6: Final answer
    x = 602.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.